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1.5 –Describe Angle Pair Relationships

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Adjacent angles: Two angles that share a common side and vertex 1 2 1 is adjacent to 2

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Complementary Angles:Two angles that add to 90° m 1 + m 2 = 90° 1 21 2

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Supplementary Angles:Two angles that add to 180° m 1 + m 2 = 180° 1 2 1 2

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Linear Pair: Two adjacent angles whose noncommon sides are opposite rays 1 2 They will always add to 180° m 1 + m 2 = 180°

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Vertical Angles: Two angles whose sides form two pairs of opposite rays 1 2 They will always be congruent!

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1. Tell whether the indicated angles are adjacent. EFG and HGF no

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1. Tell whether the indicated angles are adjacent. JNM and MNK yes

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2. Name a pair of complementary angles, supplementary angles, and vertical angles. L M N P Q R O Complementary: QOR and ROL Supplementary: ROL and LON ROM and MON Vertical: MON and NOP QOL and LOM ROL and NOP LOM and QOP

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2. Name a pair of complementary angles, supplementary angles, and vertical angles. A B C D E G Complementary: DGE and EGA Supplementary: DGE and EGB DGA and AGB Vertical: EGA and AGC DGE and BGC EGB and DGC

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3. 1 and 2 are complementary angles. Given the measure of 1, find m 2. m 1 = 82° m 2 = 8° 90 – 82 =

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3. 1 and 2 are complementary angles. Given the measure of 1, find m 2. m 2 = 67° 90 – 23 = m 1 = 23°

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4. 1 and 2 are supplementary angles. Given the measure of 1, find m 2. m 2 = 98° 180 – 82 = m 1 = 82°

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m 2 = 75° 180 – 105 = m 1 = 105° 4. 1 and 2 are supplementary angles. Given the measure of 1, find m 2.

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5. Find the measure of ABD and DBC. 4x + 6 + 11x – 6 = 180 15x = 180 x = 12 m ABD = 4(12)+6 = 48+6 = 54° m DBC = 11(12)-6 = 132-6 = 126°

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5. Find the measure of ABD and DBC. 2x + 3x = 90 5x = 90 x = 18 m ABD = 2(18) = 36° m DBC = 3(18) = 54°

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6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 1 and 2 Linear pair

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6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 1 and 3 Vertical angles

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6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 2 and 4 Vertical angles

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6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 5 and 7 neither

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6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 5 and 8 neither

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7. Find the values of x and y. 6x – 11 + 2x – 9 = 180 8x – 20 = 180 8x = 200 x = 25° 20y + 19 + 2x – 9 = 180 20y + 19 + 2(25) – 9 = 180 20y + 60 = 180 20y = 120 y = 6°

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7. Find the values of x and y. 21x – 3 + 5x + 1 = 180 26x – 2 = 180 26x = 182 x = 7° 4y + 17y – 9 = 180 21y – 9 = 180 21y = 189 y = 9°

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# 50 Ans: ex: AGB & EGD Vertical angles HW Problem SectionPage #AssignmentSpiral ?s 1.538-414, 5, 7, 11, 15-19 odd, 29-33 odd, 50, 61 14-15

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